Enter your answer correct to 3 decimal places .

Question

Recall the equation for a circle with center  and radius . At what point in the first quadrant does the line with equation  intersect the circle with radius 4 and center (0, 2)?

Answer 1

x² + (y - 2)² = 4² Equation of circle

y = 0.5x + 2 Equation of line

Solve for common solution, select the on with the positive x value